Question

an engine pumps 100kg of water per minute from a well through an average height of 12m. Find the power of engine if the engine is only 40% efficient. Take g =10m/se
answer is 5kw​

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

An engine pumps 100kg of water per minute from a well through an average height of 12m. Find the power of engine if the engine is only 40% efficient.

Take g =10m/s²

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Engine pumps water=100 kg/m
• Average Height = 12m
• Efficiency ${\sf (\eta)}$=40%
• g = 10m/s²

$\large\underline{\underline{\sf To\:Find:}}$

• Power of engine .

✪$\large{\boxed{\bf \blue{Power(P)=\dfrac{Work}{Time}}}}$

$\implies{\sf P=\dfrac{mgh}{t}}$

$\implies{\sf P = 100×10×12 }$

$\implies{\sf P=12kW }$

✪$\large{\boxed{\bf \blue{Effective\:Power(P')=\eta × P }}}$

$\implies{\sf P'=\dfrac{40}{100}×12 }$

$\implies{\sf P'=\dfrac{24}{5} }$

$\implies{\bf \red{P'≈5kW}}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Power of engine if the engine is only 40% efficient is ${\bf \red{5kW}}$